Algebra 1 Basics Part 1

Vocabulary

100

The 2 in 2x

Coefficient

200

y = mx + b

Linear Equation in Slope-Intercept Form

300

-4x in y = 3 - 4x

Variable Term

400

b in y = mx + b

y-intercept

500

f(x) = mx + b

Linear Function in Slope-Intercept Form

Evaluating Expressions

100

3x + 17; x = 4

29

200

4a + 2b; a = 3 and b = 4

20

300

a/12; a = 24

2

400

3(v + 7); v = -4

9

500

4a(3b + 4); a = 2 and b = -1

8

Slope

100

(y₂ - y₁) / (x₂ - x₁) =

m

200

The slope of a line that increases (goes up) from left to right has...

A positive slope

300

The slope of y = 2 - 4x

m = -4

400

The slope of 12x + 4y = 8

m = -3

500

The slope of a horizontal line

m = 0

Linear Equations

100

The input of a linear equation

x

200

The output of a linear equation

y

300

Standard Form of a linear equation

Ax + By = C

400

Slope-Intercept Form of a linear equation

y = mx + b

500

Point-Slope Formula

y - y₁ = m(x - x₁)

Solving Equations

100

3x - 4 = 5

x = 3

200

12 = -8 + 10x

x = 2

300

3x + 2 = -3  + 2x

x = -5

400

9x + 3y = 12; y

y = -3x + 4

500

8x - 24y = 16 - 8y; x

x = 2 + 2y